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The only significant harmonic entropy minimum with this MOS pattern is sensi, in which the generator is 9/7 and two of them make a 5/3.

Generator






Pentachord steps
Comments
4\11





436.364
1 1 1 1






23\63
438.095
6 6 6 5





19\52

438.462
5 5 5 4




15\41


439.024
4 4 4 3



11\30



440
3 3 3 2
Optimum rank range (L/s=3/2)






440.364
pi pi pi 2





29\79

440.506
8 8 8 5







440.592
phi phi phi 1






47\128
440.625
13 13 13 8
Unnamed golden temperament



18\49


440.816
5 5 5 3







441.101
√3 √3 √3 1





25\68

441.176
7 7 7 4


7\19




442.105
2 2 2 1
Boundary of propriety: generators smaller than this are proper




24\65

443.077
7 7 7 3




17\46


443.478
5 5 5 2
Sensi is about here





44\119
443.6975
13 13 13 5
Golden Sensi






443.7355
phi+1 phi+1 phi+1 1





27\73

443.836
8 8 8 3







443.9385
e e e 1



10\27



444.444
3 3 3 1







444.668
pi pi pi 1




13\35


445.714
4 4 4 1





16\43

446.512
5 5 5 1






19\51
447.059
6 6 6 1

3\8





450
1 1 1 0